List of siteswaps

Below is a list of siteswaps or juggling patterns by siteswap.

Toss juggling requires more balls than hands.For example, . Cited in Rosenberger, Phillip (2011). Juggling Basics, Why and How To. . Thus tricks such as the one ball cascade toss back and forth, 300,Darley, Vincent (1996). "Site Swaps: Examples", Juggling.org. Accessed: October 24, 2016. for example, may not be considered valid patterns. Throws back and forth shower style, odd numbers, are the most common one prop practice. Invalid or practice patterns and tricks are marked with an X.

The numbers are as follows:"Juggling by numbers: How notation revealed new tricks", BBC.com (BBC article with explanatory video) 0 = "missing"/rest [empty hand] 1 = pass [between hands] 2 = hold [one hand/no toss] 3 = (3-ball) cascade toss [between hands] 4 = (4-ball) fountain or columns toss [up and into same hand] 5 = high toss [between hands] ... a = 10 = high columns/fountain toss ...

Symbols:

Number: Relative height of a toss. 1, 2, 3... Brackets []: Multiplex. 33. Chevrons and vertical bar <|>: Simultaneous and passing patterns. P: Pass. <333P|333P> Fraction: Pass 1/y beats later. <4.5 3 3 | 3 4 3.5> Parentheses (): Synchronous pattern. *: Synchronous pattern that switches sides. (4,2x)(2x,4) = (4,2x)* x: Toss to the other hand during a synchronous pattern.

Asynchronous

A pattern is symmetrical (S) if both hands play the same role and asymmetrical (A) if not. All asynchronous patterns whose periods are odd are symmetrical, and all asynchronous patterns whose periods are even are asymmetrical.

+ Juggling patterns by siteswap Siteswap Name Props Period Symmetry (S/A) X Empty hand 0 1 S X Direct toss to other hand 1 1 S X Holding a prop in each hand 2 1 S Cascade,"Siteswap notation", JugglingLab. Accessed: October 24, 2016.Burns, Aiden. "Notations: Ladder Diagrams", p.11. Aidan's Juggling Page. Accessed: 11 10 2016. reverse cascade, etc."Statue of Liberty", Tunbridge Wells Juggling Club."Mills Mess", "Reverse Mills Mess", "Flipped Mess", "Boston Mess", "Half-Shower", "Cherry Picker", "Chops", "Reverse Chops", "Statue of Liberty", "Half-Mess", "Mike's Mess", "Crossed Arm Cascade", "Crossed-Arm Reverse Cascade", "Inverted Shower", "Backcrosses", "Flo's Mess", "Windmill", "Chop Shower", "Frantic Cascade", "Kraken", "Relf's Revenge 6", and Beever (2001), p.6. 3 1 S Fountain, etc."Fountain", "Four Ball Mills Mess", and "Four Ball Fountain", Aidan's Juggling Page. Accessed: November 3, 2016. 4 1 S Cascade,"The Five Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016. reverse cascade, etc."Shuffle" and 5 1 S Fountain"The Six Ball Fountain", Aidan's Juggling Page. Accessed: November 3, 2016. 6 1 S Cascade 7 1 S Fountain 8 1 S Cascade 9 1 S X Hold a prop in 1 hand, 0 in the otherKnutson, Allen (1993). "Siteswap FAQ", Juggling.org, one page. Accessed: October 30, 2016. 1 1 A X Two prop shower 2 2 A 2 in 1 (single handed column/fountain)"Two In One Hand", Adian's Juggling Page. Accessed November 3, 2016. 2 2 A 2 in 1, hold 1 in the other 3 2 A ShowerBeever (2001), p.8."The Three Ball Shower", Aidan's Juggling Page. Accessed: 11 10 2016. 3 2 A Half showerBeever (2001), p.61."Four Ball Half-Shower", Aidan's Juggling Page. Accessed: November 3, 2016. 4 2 A Three in oneBurns, Aidan. "Three In One Hand", Aidan's Juggling Page. Accessed: November 3, 2016. 3 2 A 3 in 1, hold in the other 4 2 A 3 in 1, 2 in the otherBeever (2001), p.62. 5 2 A Shower 4 2 A Half shower (see synchronous) 5 2 A Half-shower 6 2 A Four in one 4 2 A Four in one, hold in the other 5 2 A Four in one, two in the other 6 2 A Four in one, three in the other 7 2 A Shower 5 2 A Half-shower 6 2 A Half-shower 7 2 A Half-shower 8 2 A X Shower alternating direction 2 3 S X Cascade with a "hole"Phillips, Greg (2001). "Understanding Siteswap". Accessed 11 3 2016."Three Ball Gap", Adian's Juggling Page. Accessed November 3, 2016. 2 3 S Burke's barrage, etc."423", "Follow", "Burke's Barrage", "Relf's Revenge", "Fake Mess", "Takeouts", and "Four Two Three", Aidan's Juggling Page. Accessed: 11 10 2016. 3 3 S Half boxBeever (2001), p.13.Borwein, Jonathan M.; ed. (1997). Buhler, Eisenbud, Graham, Wright. "Juggling Drops and Descents", Organic Mathematics: Proceedings of the Organic Mathematics Workshop, December 12–14, 1995, Simon Fraser University, Burnaby, British Columbia, p.141-2. American Mathematical Soc. .Burns, Aidan. "The Three Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016."Four Four One", Aidan's Juggling Page. Accessed: 11 10 2016. and reverse, 441 Mills Mess 3 3 S 453 4 3 Snowball 2 3 S 504,"Five O Four", Aidan's Juggling Page. Accessed: 11 10 2016. 450Wright, Colin and Lipson, Andrew (1996). "SiteSwaps, How To Write Down A Juggling Pattern: A Guide For The Perplexed", Juggling.org. Accessed: October 24, 2016. 3 3 S 522Beever (2001), p.15. 3 3 S 531 and 531 Mills Mess"Five Three One", Aidan's Juggling Page. Accessed: 11 10 2016. 3 3 S 534"534" and "Five Three Four", Aidan's Juggling Page. Accessed: November 3, 2016. 4 3 S 4 out of 5"Five Five Two", Aidan's Juggling Page. Accessed: November 3, 2016. 4 3 S 561 4 3 S See-saw 3 3 S 615"Six One Five", Aidan's Juggling Page. Accessed: November 3, 2016. 61616, 4 3 S 633"Six Three Three", Aidan's Juggling Page. Accessed: November 3, 2016. 4 3 S 642 4 3 S 645 5 3 S 663 5 3 S 714 4 3 S 723 4 3 S 726 5 3 S 741 4 3 S 744 5 3 S 756 6 3 S 771 5 3 S 753 5 3 S 801 3 3 S 831 4 3 S 867 7 3 S 915 5 3 S 459 6 3 S 978 8 3 S 4413 3 4 A Gap/3 out of 4 (fountain)"Four Ball Gap", Aidan's Juggling Page. Accessed: November 3, 2016. 3 4 A Slow half-shower"The Slow Half-Shower", Aidan's Juggling Page. Accessed: 11 10 2016. 3 4 A 5241 3 4 A Asymmetric version of 531) 3 4 A 5524 4 4 A 5551"Five Five Five One", Aidan's Juggling Page. Accessed: November 3, 2016. 4 4 A 6312Beever (2001), p.37. 3 4 A 6424 4 4 A High-Low Shower 3 4 A 7333 4 4 A 7531 4 4 A 7562 5 4 A 7571 5 4 A High-low three in one 3 4 A 9559 7 4 A X 40141 2 5 S Marden's Marvel and Relf's Factory"Marden's Marvel", LibraryofJuggling.com and 3 5 S Orinoco Flow (423 with an extra 4) 3 5 S Frostbite and Mills Mess Shower"Frostbite" and 3 5 S 45141 3 5 S Chase,Burns, Aidan. "The Chase", Aidan's Juggling Page. Siteswap: 55050. Accessed: November 3, 2016. snake,Lee, Xah (2005). "Siteswap", XahArts.org. Accessed: November 8, 2016. etc. 3 5 S 12345 3 5 S 51414"Five One Four One Four", Aidan's Juggling Page. Accessed: 11 10 2016. 3 5 S Rubenstein's Revenge and Romeo's Revenge 3 5 S Boston shuffle, "baby", etc. 3 5 S Burke's Slam, (5251221525) 3 5 S Shuffler's mess 3 5 S Tennis"Four Ball Tennis", Aidan's Juggling Page. Accessed: November 3, 2016. 4 5 S 55014"Five Five 0 One Four", Aidan's Juggling Page. Accessed: November 3, 2016. 3 5 S 55244 4 5 S "Flash" (3 out of 5)Morgan, Alan (1996). "Siteswaps for the Masses", Juggling.org. Accessed: October 24, 2016. 3 5 S 55514"Five Five Five One Four", Aidan's Juggling Page. Accessed: November 3, 2016. 4 5 S Gap/four out of five"Five ball Gap ", Aidan's Juggling Page. Accessed: November 3, 2016. 4 5 S 56414 4 5 S 66161 4 5 S 66661 5 5 S 67561 5 5 S 68141 4 5 S 75751 5 5 S 77731 5 5 S Super box 3 5 S 88333 5 5 S 94444 5 5 S 95353 5 5 S 97333 5 5 S 97441 5 5 S 97522 5 5 S One up one down 3 6 A Shower with a "leak" 3 6 A 661515 4 6 A One high one low 4 6 A 777171 5 6 A Relf's Rubensteins 3 7 S 7161616 4 7 S 7272712 4 7 S Icelandic Shuffle 3 8 A 123456789Diaconis, Persi and Graham, Ron (2011). Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks, p.144. Princeton University. . "Mathematically interesting siteswap patterns, such as 123456789." 5 9 S 8483848034Beever (2001), p.9. 5 10 A 53145305520 3 11 S

Synchronous A pattern is symmetric if all throws made by the right hand are made by the left hand in the same order. It follows that a synchronous pattern is symmetric if the sequence of throws made by one hand in the siteswap notation is a rotation of the other. +Juggling patterns by siteswap Siteswap Name Props Period Symmetry (S/A) Half-shower"The Three Ball Half-Shower (4x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016. 3 1 A Fake Columns, yo-yo etc."Fake Columns", "Yo-Yo", and (identical to 42) 3 1 ABox"The Box (4,2x)(2x,4)", Aidan's Juggling Page. Accessed: November 3, 2016. 3 2 S Columns, etc."Four Ball Columns", "Pistons", "Synchronous Pistons", and "Synchronous Fountain"; LibraryofJuggling.com. Accessed October 24, 2016."Synchronous Four Ball Fountain", Aidan's Juggling Page. Accessed: 11 10 2016. 4 1 SColumns/One Up Two Up"One Up Two Up", Aidan's Juggling Page. Accessed: November 3, 2016. 3 2 A Alternating columns"Infinity" and 3 4 S (4,6x)(2x,4) 4 2 A ShowerBeever (2001), p.9.Burns, p.18. 3 1 A Double box 3 4 S Crossing columns"Synchronous Four Ball Crossing Pattern", Aidan's Juggling Page. Accessed: 11 10 2016. 4 1 S BoxBurns, p.19. 5 2 S Box 4 4 S (6,2x)(6,2x)(2x,6)(2x,6) 4 4 S 3 in 1, 2 in the other 5 1 A (6,4x)(4x,2) 4 2 A 3 in 1, 2 in the other 5 2 A 3 in 1, 2 in the other 5 3 A (6x,2)(6,2x)(2,6x)(2x,6) 4 4 S Shower"Synchronous Half Shower (6x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016. 4 1 A Box shower/shower box"Six Two (6x,2x)(2x,6x)", Aidan's Juggling Page. Accessed: November 3, 2016. 4 2 S Tennis"Synchronous Four Ball Tennis", Aidan's Juggling Page. Accessed: November 3, 2016. 4 6 S Synchronous 534"'Synchronous 534' (6x,4)(4,2x)(4,6x)(2x,4)", Aidan's Juggling Page. Accessed: November 3, 2016. 4 4 S (6x,4)(4,6x) 5 2 S Half shower 5 1 A (6x,6x)(2x,2x) 4 2 S Dan Bennett's box 4 4 S

Passing

+ Juggling patterns by siteswap Siteswap Name Props Period Symmetry (S/A) Timing (S/A) One-count 6 1 S A Two-count 6 2 A A Three-count 6 3 S A Four-count 6 4 A A Six-countBesmehn, Bobby (1994). Juggling Step-by-Step, p.65. "Use four balls of one color and two of another color...every time an odd-colored ball reaches your right hand, pass it." Sterling. Cassidy, John and Rimbeaux, B.C. (1988). Juggling for the Complete Klutz, p.38. "It helps...if one of you counts out loud every time a toss leaves your right hand[s]...On a pre-arranged number, say three [six beats], instead of tossing across to your own left hand, throw your bag...over to your friend's left hand." Klutz Press. Third edition. 6 6 A A Simplest 4 count 7 propBeever (2001), p.43. 7 4 A A

Ladder diagrams

References

External links Siteswap.org